33673 has 4 divisors (see below), whose sum is σ = 34048. Its totient is φ = 33300.

The previous prime is 33647. The next prime is 33679. The reversal of 33673 is 37633.

33673 is nontrivially palindromic in base 11.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 33673 - 2⁵ = 33641 is a prime.

It is a super-2 number, since 2×33673² = 2267741858, which contains 22 as substring.

It is the 184-th Hogben number.

It is a Duffinian number.

33673 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (33679) by changing a digit.

It is a nontrivial repunit in base 183.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40 + ... + 262.

It is an arithmetic number, because the mean of its divisors is an integer number (8512).

2³³⁶⁷³ is an apocalyptic number.

It is an amenable number.

33673 is a deficient number, since it is larger than the sum of its proper divisors (375).

33673 is a wasteful number, since it uses less digits than its factorization.

33673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374.

The product of its digits is 1134, while the sum is 22.

The square root of 33673 is about 183.5020435854. The cubic root of 33673 is about 32.2919251222.

It can be divided in two parts, 3367 and 3, that multiplied together give a palindrome (10101).

The spelling of 33673 in words is "thirty-three thousand, six hundred seventy-three".